N. Ben, Abdallah Weak solutions of the initial-boundary value problem for the Vlasov- Poisson system

A. Arsenev, Global existence of a weak solution of vlasov's system of equations, USSR Computational Mathematics and Mathematical Physics, vol.15, issue.1, pp.131-143, 1975.
DOI : 10.1016/0041-5553(75)90141-X

K. Asano and S. Ukai, On the Vlasov-Poisson limit of the Vlasov-Maxwell equation, CA] Pattern and waves. Qualitative analysis of nonlinear diierential equations, Stud, Math. Appl, vol.18, pp.369-383, 1986.

C. Bardos, Probllmes aux limites pour les quations aux ddrivves partielles du premier ordre, A n n . Sci. Ecole norm. sup, p.185233, 1969.

M. Bezard, Boundary value problems for the Vlasov-Maxwell system, Semin, Equ. Deriv. Partielles, Ec. Polytech., Cent. Math. Exp, issue.4, p.17, 1992.

C. K. Birdsall and A. B. , Langdon Plasma physics via computer simulations Mc Graw Hill, 1985.

B. Bodin, Moddlisation et simulation nummrique du rgime de Child-Langmuir, Thhse de l'Ecole Polytechnique, 1995.

M. Bostan and F. Poupaud, PERIODIC SOLUTIONS OF THE VLASOV???POISSON SYSTEM WITH BOUNDARY CONDITIONS, Mathematical Models and Methods in Applied Sciences, vol.10, issue.05, pp.1333-1336, 1997.
DOI : 10.1142/S0218202500000355
URL : https://hal.archives-ouvertes.fr/inria-00073166

M. Bostan and F. Poupaud, PERIODIC SOLUTIONS OF THE VLASOV???POISSON SYSTEM WITH BOUNDARY CONDITIONS, Mathematical Models and Methods in Applied Sciences, vol.10, issue.05
DOI : 10.1142/S0218202500000355
URL : https://hal.archives-ouvertes.fr/inria-00073166

M. Bostan and F. Poupaud, Periodic solutions of the 1D Vlasov-Maxwell system with boundary conditions, Mathematical Methods in the Applied Sciences, vol.105, issue.14, 1998.
DOI : 10.1002/1099-1476(20000925)23:14<1195::AID-MMA161>3.0.CO;2-R
URL : https://hal.archives-ouvertes.fr/inria-00073129

M. Bostan and F. Poupaud, Etude nummrique des solutions priodiques des systtmes de Maxwel et de Vlasov-Maxwell par une mmthode de contrle, 1998.

R. Carpentier, Approximation et analyse nummrique d''coulements instationnaires, application des instabilitts tourbillonaires, Thhse de Ph.D, 1995.

R. Carpentier, A. De-la-bourdonnaye, and B. Larrouturou, Sur le calcul des quations quivalentes pour l'analyse des mmthodes nummriques linnaires, C.R. Acad. Sci. Paris, vol.319, issue.I, pp.757-760, 1994.

R. Carpentier, A. De, L. Bourdonnaye, and B. Larrouturou, On the derivation of the modiied e quation for the analysis of linear numerical methods, pp.459-470, 1997.

J. P. Cioni and L. Fezoui, Issautier High-order upwind schemes for solving timedomain Maxwell equation, La Recherche Arospatiale, issue.5, pp.319-328, 1994.

J. P. Cioni and L. Fezoui, Steve Approximation des quations de Maxwell par des schhmas ddcentrs en llments nis Rapport INRIA, 1992.

P. Degond, Regularitt de la solution des quations cinntiques en physiques de plasmas, J] Semin., Equations Deriv. Partielles 1985-86, Expose No, p.p, 1986.

P. Degond, Local existence of solutions of the vlasov-maxwell equations and convergence to the vlasov-poisson equations for infinite light velocity, Mathematical Methods in the Applied Sciences, vol.33, issue.1, pp.533-558, 1986.
DOI : 10.1002/mma.1670080135

P. Degond, Global existence of smooth solutions for the Vlasov-Fokker-Planck equation in $1$ and $2$ space dimensions, Annales scientifiques de l'??cole normale sup??rieure, vol.19, issue.4, pp.519-542, 1986.
DOI : 10.24033/asens.1516

P. Degond and P. A. , Raviart On the paraxial approximation of the stationary Vlasov- Maxwell system Rapport CMLA de l'ENS Cachan, 1993.

S. Depeyre, tude de schhmas d'ordre levv en volumes nis pour des probllmes hyperboliques Application aux quations de Maxwell, d'Euler et aux coulements diphasiques dispersss, Thhse de Ph.D., cole Nationale des Ponts et Chaussses, 1997.

S. Depeyre, B. Larrouturou, and R. Carpentier, MMthodes nummriques dcentres d'ordre levv en deux dimensions d'espace, Rapport de Recherche CERMICS, pp.95-136, 1995.

A. Dervieux, Steady Euler simulations using unstructured meshes, V on Karman Institute Lecture Series, pp.85-89, 1985.
DOI : 10.1142/9789814415590_0002

J. A. Desideri and A. , Goudjo and V. Selmin Third o r der numerical schemes for hyperbolic problems, Rapport INRIA, 1987.

R. J. Diperna and P. L. Lions, Global weak solutions of Vlasov-Maxwell system, C o m m . Pure Appl, Math. XVII, pp.729-757, 1989.

R. J. Diperna and P. L. Lions, Ordinary diierential equations, transport theory and Sobolev spaces, I n vent, Math, vol.98, issue.511, p.547, 1989.

L. Ffzoui and B. Stouuet, A class of implicit upwind schemes for Euler simulations with unstructured meshes, Journal of Computational Physics, vol.84, issue.1, pp.174-206, 1989.
DOI : 10.1016/0021-9991(89)90187-3

C. Greengard and P. A. Raviart, A b oundary value problem for the stationary Vlasov- Poisson system, Comm. Pure and Appl. Math. XLIII, pp.473-507, 1990.

Y. Guo, Regularity for the Vlasov equation in a half space, Math. J, vol.43, pp.255-320, 1994.

Y. Guo, Global weak solutions of the Vlasov-Maxwell system with boundary conditions, Communications in Mathematical Physics, vol.42, issue.2, pp.245-263, 1993.
DOI : 10.1007/BF02096997

R. F. Harrington, Time Harmonic Electromagnetic Fields, 1961.
DOI : 10.1109/9780470546710
URL : http://hdl.handle.net/2027/mdp.39015002091489

A. Harten, High resolution schemes for hyperbolic conservation laws, Journal of Computational Physics, vol.49, issue.3, pp.357-393, 1983.
DOI : 10.1016/0021-9991(83)90136-5

J. D. Jackson, Classical Electrodynamics, seconde dition, 1975.

P. D. Jackson, A. Harten, and B. Van-leer, On upstream diierencing and Godunov type schemes for hyperbolic conservation laws SIAM Revue, 1983.

R. Llhner and J. , Ambrosiano A nite element solver for the Maxwell equations GAMNI-SMAI conference on numerical methods for the solution of Maxwell equations, 1989.

K. Pfaaelmoser, Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data, Journal of Differential Equations, vol.95, issue.2, pp.281-303, 1992.
DOI : 10.1016/0022-0396(92)90033-J

S. Piperno and S. , Criteria for the design of limiters yielding efficient high resolution TVD schemes, Computers & Fluids, vol.27, issue.2, pp.183-197, 1998.
DOI : 10.1016/S0045-7930(97)00045-5
URL : https://hal.archives-ouvertes.fr/hal-00607768

F. Poupaud, Boundary value problems for the stationary Vlasov-Maxwell system, Forum Mathematicum, vol.4, issue.4, pp.499-527, 1992.
DOI : 10.1515/form.1992.4.499

L. Reggiani, Hot electric transport in semiconductors, 1985.

B. Van-leer, Flux vector splitting for the Euler equations, Lecture Notes in Physics, vol.170, pp.405-512, 1982.

B. Van-leer, Towards the ultimate conservative diierence schemes V: a second order sequel to Godunov's method, J. Comp. Phy, vol.32, 1979.

R. F. Warming and F. Hyett, The modified equation approach to the stability and accuracy analysis of finite-difference methods, Journal of Computational Physics, vol.14, issue.2, p.159, 1974.
DOI : 10.1016/0021-9991(74)90011-4